Optical constants

Refractive index of Yb₂O₃ (Ytterbium sesquioxide)

Medenbach et al. 2001: n 0.435–0.644 µm

Data: formula 2
Range: 0.435–0.644 µm
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.94746
Extinction coefficient k: 0

Permittivity ε₁: 3.79258
Permittivity ε₂: 0

Absorption coefficient α: 0 cm⁻¹
Penetration depth δ = λ/(2πk): — nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.13422 µm⁻¹

Group index n_g: 2.02632
Group velocity dispersion: 260.927 fs²/mm

Dispersion parameter D: -1423.5 ps/(nm·km)
Photon energy: 2.11001 eV

ε = (n + ik)², α = 4πk/λ, n_g = n − λ dn/dλ, GVD = λ³/(2πc²) d²n/dλ², D = −(λ/c) d²n/dλ². Group-velocity dispersion is given for formula data only.

Use it in Lightsmith

Load this data in Python, simulate in one more line

pip install lightsmith

import lightsmith as ls

# Yb2O3 (Ytterbium sesquioxide): Medenbach et al. 2001: n 0.435–0.644 µm
yb2o3 = ls.fetch_refractiveindex("main", "Yb2O3", "Medenbach", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(yb2o3.range_nm)  # (435, 644) nm
eps = yb2o3.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_03510b3cc735/lightsmith"
yb2o3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(yb2o3.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (yb2o3/medenbach-2001).

# ... load yb2o3 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=yb2o3)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=435, stop_nm=644, num=81),
)
res = ls.solve(sim)  # exact Mie for a sphere
print(res.q_ext)     # extinction efficiency at each wavelength

Same spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_03510b3cc735/lightsmith?model=drude_lorentz"
yb2o3_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))

A dispersive Drude–Lorentz model for time-domain solvers.

Materials guide Open a sphere of it in Studio Quick start Ask the community

Lightsmith is open source (MIT): Mie, T-matrix, BEM, DDA, FDTD, RCWA, TMM, mode solvers and inverse design behind one spec, on CPU or GPU. GitHub.

Dispersion formula

Sellmeier (C in µm²) (formula 2), λ in µm

n^{2} - 1 = \frac{2.647 λ^{2}}{λ^{2} - 0.018}

Valid from 0.435 to 0.644 µm.

Coefficients as stored

C_i	Value
C1	0.0
C2	2.647
C3	0.018

References

O. Medenbach, D. Dettmar, R. D. Shannon, R. X. Fischer, W. M. Yen. Refractive index and optical dispersion of rare earth oxides using a small-prism technique. J. Opt. A: Pure Appl. Opt. 3, 174-177, 2001

doi:10.1088/1464-4258/3/3/303 Refractive index and optical dispersion of rare earth oxides using a small-prism technique, Journal of Optics A: Pure and Applied Optics (2001)

Cite

O Medenbach, D Dettmar, R D Shannon, R X Fischer and W M Yen. Refractive index and optical dispersion of rare earth oxides using a small-prism technique. Journal of Optics A: Pure and Applied Optics, 3, 174-177 (2001), doi:10.1088/1464-4258/3/3/303; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 400 wavelengths, the same grid as the API and the library

CSV comma separated TXT tab separated YAML n, k Full database record original YAML All quantities CSV JSON metadata

Yb2O3 (Ytterbium sesquioxide), Medenbach et al. 2001: n 0.435–0.644 µm: n and k versus wavelength
λ (µm)	n
0.435	1.981228
0.435428	1.981076
0.435856	1.980924
0.436285	1.980772
0.436714	1.980621
0.437144	1.980469
0.437574	1.980319
0.438005	1.980168
0.438436	1.980018
0.438867	1.979869
0.439299	1.979719
0.439731	1.97957
0.440163	1.979422
0.440596	1.979273
0.44103	1.979125
0.441464	1.978978
0.441898	1.978831
0.442333	1.978684
0.442768	1.978537
0.443204	1.978391
0.44364	1.978245
0.444076	1.978099
0.444513	1.977954
0.44495	1.977809
0.445388	1.977664
0.445826	1.97752
0.446265	1.977376
0.446704	1.977232
0.447143	1.977089
0.447583	1.976946
0.448024	1.976804
0.448465	1.976661
0.448906	1.976519
0.449347	1.976378
0.449789	1.976236
0.450232	1.976095
0.450675	1.975954
0.451118	1.975814
0.451562	1.975674
0.452006	1.975534
0.452451	1.975395
0.452896	1.975256
0.453342	1.975117
0.453788	1.974978
0.454234	1.97484
0.454681	1.974702
0.455128	1.974565
0.455576	1.974428
0.456024	1.974291
0.456473	1.974154
0.456922	1.974018
0.457372	1.973882
0.457822	1.973746
0.458272	1.973611
0.458723	1.973476
0.459174	1.973341
0.459626	1.973206
0.460078	1.973072
0.460531	1.972938
0.460984	1.972805
0.461437	1.972672
0.461891	1.972539
0.462346	1.972406
0.462801	1.972274
0.463256	1.972142
0.463712	1.97201
0.464168	1.971878
0.464625	1.971747
0.465082	1.971616
0.465539	1.971486
0.465997	1.971356
0.466456	1.971226
0.466915	1.971096
0.467374	1.970966
0.467834	1.970837
0.468294	1.970709
0.468755	1.97058
0.469216	1.970452
0.469678	1.970324
0.47014	1.970196
0.470602	1.970069
0.471065	1.969942
0.471529	1.969815
0.471993	1.969688
0.472457	1.969562
0.472922	1.969436
0.473387	1.969311
0.473853	1.969185
0.474319	1.96906
0.474786	1.968935
0.475253	1.968811
0.47572	1.968687
0.476188	1.968563
0.476657	1.968439
0.477126	1.968315
0.477595	1.968192
0.478065	1.968069
0.478535	1.967947
0.479006	1.967824
0.479477	1.967702
0.479949	1.967581
0.480421	1.967459
0.480894	1.967338
0.481367	1.967217
0.481841	1.967096
0.482315	1.966976
0.482789	1.966856
0.483264	1.966736
0.48374	1.966616
0.484216	1.966497
0.484692	1.966378
0.485169	1.966259
0.485646	1.96614
0.486124	1.966022
0.486602	1.965904
0.487081	1.965786
0.48756	1.965669
0.48804	1.965552
0.48852	1.965435
0.489	1.965318
0.489482	1.965201
0.489963	1.965085
0.490445	1.964969
0.490928	1.964854
0.491411	1.964738
0.491894	1.964623
0.492378	1.964508
0.492862	1.964393
0.493347	1.964279
0.493833	1.964165
0.494319	1.964051
0.494805	1.963937
0.495292	1.963824
0.495779	1.963711
0.496267	1.963598
0.496755	1.963485
0.497244	1.963373
0.497733	1.963261
0.498223	1.963149
0.498713	1.963037
0.499203	1.962926
0.499695	1.962815
0.500186	1.962704
0.500678	1.962593
0.501171	1.962483
0.501664	1.962373
0.502157	1.962263
0.502651	1.962153
0.503146	1.962043
0.503641	1.961934
0.504136	1.961825
0.504632	1.961717
0.505129	1.961608
0.505626	1.9615
0.506123	1.961392
0.506621	1.961284
0.50712	1.961177
0.507619	1.961069
0.508118	1.960962
0.508618	1.960855
0.509118	1.960749
0.509619	1.960643
0.510121	1.960536
0.510622	1.960431
0.511125	1.960325
0.511628	1.960219
0.512131	1.960114
0.512635	1.960009
0.513139	1.959905
0.513644	1.9598
0.514149	1.959696
0.514655	1.959592
0.515162	1.959488
0.515668	1.959385
0.516176	1.959281
0.516684	1.959178
0.517192	1.959075
0.517701	1.958973
0.51821	1.95887
0.51872	1.958768
0.51923	1.958666
0.519741	1.958564
0.520252	1.958463
0.520764	1.958361
0.521276	1.95826
0.521789	1.958159
0.522303	1.958059
0.522817	1.957958
0.523331	1.957858
0.523846	1.957758
0.524361	1.957658
0.524877	1.957559
0.525393	1.957459
0.52591	1.95736
0.526428	1.957261
0.526946	1.957163
0.527464	1.957064
0.527983	1.956966
0.528502	1.956868
0.529022	1.95677
0.529543	1.956672
0.530064	1.956575
0.530585	1.956478
0.531107	1.956381
0.53163	1.956284
0.532153	1.956188
0.532676	1.956091
0.5332	1.955995
0.533725	1.955899
0.53425	1.955803
0.534776	1.955708
0.535302	1.955613
0.535828	1.955518
0.536356	1.955423
0.536883	1.955328
0.537412	1.955234
0.53794	1.955139
0.538469	1.955045
0.538999	1.954951
0.53953	1.954858
0.54006	1.954764
0.540592	1.954671
0.541123	1.954578
0.541656	1.954485
0.542189	1.954392
0.542722	1.9543
0.543256	1.954208
0.543791	1.954116
0.544326	1.954024
0.544861	1.953932
0.545397	1.953841
0.545934	1.95375
0.546471	1.953659
0.547008	1.953568
0.547547	1.953477
0.548085	1.953387
0.548625	1.953296
0.549164	1.953206
0.549705	1.953117
0.550245	1.953027
0.550787	1.952937
0.551329	1.952848
0.551871	1.952759
0.552414	1.95267
0.552957	1.952581
0.553501	1.952493
0.554046	1.952405
0.554591	1.952317
0.555137	1.952229
0.555683	1.952141
0.55623	1.952053
0.556777	1.951966
0.557325	1.951879
0.557873	1.951792
0.558422	1.951705
0.558971	1.951618
0.559521	1.951532
0.560071	1.951446
0.560623	1.95136
0.561174	1.951274
0.561726	1.951188
0.562279	1.951103
0.562832	1.951017
0.563386	1.950932
0.56394	1.950847
0.564495	1.950763
0.56505	1.950678
0.565606	1.950594
0.566163	1.950509
0.56672	1.950425
0.567277	1.950341
0.567835	1.950258
0.568394	1.950174
0.568953	1.950091
0.569513	1.950008
0.570073	1.949925
0.570634	1.949842
0.571195	1.94976
0.571757	1.949677
0.57232	1.949595
0.572883	1.949513
0.573446	1.949431
0.574011	1.949349
0.574575	1.949268
0.575141	1.949186
0.575706	1.949105
0.576273	1.949024
0.57684	1.948943
0.577407	1.948863
0.577975	1.948782
0.578544	1.948702
0.579113	1.948622
0.579683	1.948542
0.580253	1.948462
0.580824	1.948382
0.581396	1.948303
0.581968	1.948224
0.58254	1.948144
0.583113	1.948066
0.583687	1.947987
0.584261	1.947908
0.584836	1.94783
0.585411	1.947751
0.585987	1.947673
0.586564	1.947595
0.587141	1.947518
0.587719	1.94744
0.588297	1.947363
0.588875	1.947285
0.589455	1.947208
0.590035	1.947131
0.590615	1.947054
0.591196	1.946978
0.591778	1.946901
0.59236	1.946825
0.592943	1.946749
0.593526	1.946673
0.59411	1.946597
0.594695	1.946522
0.59528	1.946446
0.595865	1.946371
0.596452	1.946296
0.597038	1.946221
0.597626	1.946146
0.598214	1.946071
0.598802	1.945997
0.599391	1.945922
0.599981	1.945848
0.600571	1.945774
0.601162	1.9457
0.601754	1.945627
0.602346	1.945553
0.602938	1.94548
0.603532	1.945406
0.604125	1.945333
0.60472	1.94526
0.605315	1.945187
0.60591	1.945115
0.606506	1.945042
0.607103	1.94497
0.6077	1.944898
0.608298	1.944826
0.608897	1.944754
0.609496	1.944682
0.610095	1.944611
0.610695	1.944539
0.611296	1.944468
0.611898	1.944397
0.6125	1.944326
0.613102	1.944255
0.613705	1.944185
0.614309	1.944114
0.614914	1.944044
0.615519	1.943974
0.616124	1.943904
0.61673	1.943834
0.617337	1.943764
0.617944	1.943694
0.618552	1.943625
0.619161	1.943556
0.61977	1.943486
0.62038	1.943417
0.62099	1.943349
0.621601	1.94328
0.622213	1.943211
0.622825	1.943143
0.623437	1.943075
0.624051	1.943006
0.624665	1.942938
0.625279	1.942871
0.625895	1.942803
0.62651	1.942735
0.627127	1.942668
0.627744	1.942601
0.628361	1.942533
0.628979	1.942466
0.629598	1.9424
0.630218	1.942333
0.630838	1.942266
0.631458	1.9422
0.63208	1.942134
0.632701	1.942068
0.633324	1.942002
0.633947	1.941936
0.634571	1.94187
0.635195	1.941804
0.63582	1.941739
0.636445	1.941674
0.637072	1.941608
0.637698	1.941543
0.638326	1.941478
0.638954	1.941414
0.639582	1.941349
0.640212	1.941285
0.640841	1.94122
0.641472	1.941156
0.642103	1.941092
0.642735	1.941028
0.643367	1.940964
0.644	1.940901

Optical transmission calculator

Free-standing sample in vacuum, normal incidence

Transmittance T: —
Reflectance R: —

Fresnel reflection calculator

R_p: —
R_s: —
R = (R_p+R_s)/2: —
Phase φ_p: —
Phase φ_s: —
Brewster angle θ_B: —
Critical angle θ_C: —

Yb₂O₃ (Ytterbium sesquioxide): all datasets

Medenbach et al. 2001: n 0.435–0.644 µm n 0.435–0.644 µm default

About Yb2O3 (Ytterbium sesquioxide)

Ytterbium sesquioxide (Yb₂O₃) is a chemical compound formed from ytterbium and oxygen. This white, crystalline oxide is one of the primary compounds of ytterbium and serves as a common precursor in the preparation of other ytterbium salts. Its high melting point and stable nature make it a suitable material for certain specialized applications. In the realm of optics and photonics, Yb₂O₃-doped materials are of interest for their lasing properties, especially when doped into laser host materials. The compound is also researched in the context of high-temperature superconductors and other advanced materials. Being an oxide of a rare-earth element, Yb₂O₃ shares many characteristics typical of the lanthanide series, including its ability to form complex coordination compounds.

More about Yb2O3 (Ytterbium sesquioxide) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/Yb2O3/nk/Medenbach.yml
ID: ds_03510b3cc735
API: /v1/datasets/ds_03510b3cc735

Plot